## Nim Game You are playing the following Nim Game with your friend: - Initially, there is a heap of stones on the table. - You and your friend will alternate taking turns, and **you go first**. - On each turn, the person whose turn it is will remove 1 to 3 stones from the heap. - The one who removes the last stone is the winner. - Given `n`, the number of stones in the heap, return `true` if you can win the game assuming both you and your friend play optimally, otherwise return `false`. ### Examples **Example 1** ```text Input: n = 4 Output: false Explanation: These are the possible outcomes: 1. You remove 1 stone. Your friend removes 3 stones, including the last stone. Your friend wins. 2. You remove 2 stones. Your friend removes 2 stones, including the last stone. Your friend wins. 3. You remove 3 stones. Your friend removes the last stone. Your friend wins. In all outcomes, your friend wins. ``` **Example 2** ```text Input: n = 1 Output: true ``` **Example 3** ```text Input: n = 2 Output: true ``` --- ### Constraints - `1 <= n <= 231 - 1`